How will the force of universal gravity change if the mass of one of the interacting bodies is doubled
| December 13, 2020 | education
How will the force of universal gravity change if the mass of one of the interacting bodies is doubled and the distance between them is doubled?
Formula of attraction between 2 bodies: F = Gm1m2 / r ^ 2
Let’s make a replacement from the condition:
m3 = 2m1
R = 2r
Substitute in the formula:
F = G * 2m1m2 / (2r) ^ 2 = G2m1m2 / 4r ^ 2 = Gm1m2 / 2r ^ 2
That is, it will decrease by half
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